Properties of the Number 29574

Twenty-Nine Thousand Five Hundred Seventy-Four

Basics

Value: 29573 → 29574 → 29575

Parity: even

Prime: No

Previous Prime: 29573

Next Prime: 29581

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 31 × 53

Divisors: 1, 2, 3, 6, 9, 18, 31, 53, 62, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001110000110

Octal: 71606

Duodecimal: 15146

Hexadecimal: 7386

Square: 874621476

Square Root: 171.97092777559817

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers m such that 2*φ(m) = φ(m+1). A50472

Numbers k such that λ(k) = λ(k+1). A173695

Expansion of a q-series used by Ramanujan in his Lost Notebook. A279715

Site series for second perpendicular moment of Kagome lattice. A120552

a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...). A24479

a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...). A25099

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 0), (0, -1), (0, 1), (1, -1), (1, 0)}. A151472

Number of permutations of an n-set containing a 7-cycle. A29574

Number of (n+1)X(2+1) 0..2 arrays with every element both >= and <= some horizontal, vertical or antidiagonal neighbor. A232198

Positive integers k such that k² = A²+B²+C² and A³+B³+C³ = m³, where gcd(A,B,C) = 1 and A, B, C, m are positive integers. A337251